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Finding the Fourth Proportional to 202,694.20, 303,803.76 and 82,676.22

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Solution

The fourth proportional to 202,694.20, 303,803.76 and 82,676.22 is: 123,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,694.20 : 303,803.76 = 82,676.22 : x
  2. Step 2: Convert to fraction form
    202,694.20/303,803.76 = 82,676.22/x
  3. Step 3: Cross multiply
    202,694.20x = 303,803.76 × 82,676.22
  4. Step 4: Simplify right side
    202,694.20x = 25,117,346,498.59
  5. Step 5: Solve for x
    x = 25,117,346,498.59/202,694.20
  6. Step 6: Final answer
    x = 123,917.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.